Three Approaches in Computational Geometry and Topology : Persistent Homology, Discrete Differential Geometry and Discrete Morse Theory

We study persistent homology, methods in discrete differential geometry and discrete Morse theory. Persistent homology is applied to computational biology and range image analysis. Theory from differential geometry is used to define curvature estimates of triangulated hypersurfaces. In particular, a...

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Bibliographic Details
Main Author: Botnan, Magnus Bakke
Format: Others
Language:English
Published: Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag 2011
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-14201